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Finding the Third Proportional to 87,552 and 182,636

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Solution

The third proportional to 87,552 and 182,636 is: 380,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,552 : 182,636 = 182,636 : x
  2. Step 2: Convert to fraction form
    87,552/182,636 = 182,636/x
  3. Step 3: Cross multiply
    87,552x = 182,636 × 182,636
  4. Step 4: Simplify right side
    87,552x = 33,355,908,496
  5. Step 5: Solve for x
    x = 33,355,908,496/87,552
  6. Step 6: Final answer
    x = 380,983.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.